Finite-Time Synchronization of Multi-Linked Memristor-Based Neural Networks With Mixed Time-Varying Delays

Abstract

This paper mainly investigates the finite-time synchronization and stability issue of a class of master-slave multi-linked memristor-based neural networks (MMNNs) with mixed time-varying delays via different state-feedback controllers. Based on some synchronization analytical techniques and Lyapunov functional method, sufficient criteria are obtained to ensure that the master-slave MMNNs systems can realize finite-time synchronization under the Filippov-framework. Three different controllers are designed to synchronize the MMNNs systems, and the settling time of finite-time synchronization is estimated in advance. The correctness and the feasibility of the proposed synchronization criteria are confirmed by three simulation examples. INDEX TERMS Finite-time synchronization; Multi-linked memristor-based neural networks (MMNNs); Adaptive controller; Time-varying delays